Search a number
-
+
12021002110020 = 22351923133535023
BaseRepresentation
bin1010111011101101101110…
…0011111000010001000100
31120120012022022020211120010
42232323123203320101010
53033423003020010040
641322212214110220
72350326432005661
oct256733343702104
946505268224503
1012021002110020
113915095338a22
12142190134b370
13692763892c17
142d7b69000a68
1515ca61b37e80
hexaeedb8f8444

12021002110020 has 288 divisors, whose sum is σ = 35745123197952. Its totient is φ = 3018005692416.

The previous prime is 12021002109997. The next prime is 12021002110037. The reversal of 12021002110020 is 2001120012021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12021002109978 and 12021002110005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2393189229 + ... + 2393194251.

It is an arithmetic number, because the mean of its divisors is an integer number (124115011104).

Almost surely, 212021002110020 is an apocalyptic number.

12021002110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12021002110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17872561598976).

12021002110020 is an abundant number, since it is smaller than the sum of its proper divisors (23724121087932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12021002110020 is a wasteful number, since it uses less digits than its factorization.

12021002110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5739 (or 5718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12021002110020 its reverse (2001120012021), we get a palindrome (14022122122041).

The spelling of 12021002110020 in words is "twelve trillion, twenty-one billion, two million, one hundred ten thousand, twenty".